Question

If a=xy^2 and b=x^3y^5 where x and y are prime number then lcm of (a,b) is

Answer 1

LCM of a, b is x³y⁵.

Given data:

Two expressions a = xy², b = x³y⁵

To find:

LCM of a, b

Concept:

In order to find LCM of two numbers or expressions, we will factorize them in terms of primes.

Then check the most primes between them.

Step-by-step explanation:

Here,

• a = xy² = x * y * y

• b = x³y⁵ = x * x * x * y * y * y * y * y

Since there are 3 xs and 5 ys the most between two numbers, thus

LCM = x * x * x * y * y * y * y * y

= x³y⁵

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